213306603312 has 320 divisors, whose sum is σ = 639010529280. Its totient is φ = 60681984000.

The previous prime is 213306603269. The next prime is 213306603313.

213306603312 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 213306603312.

It is not an unprimeable number, because it can be changed into a prime (213306603313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163202563 + ... + 163203869.

It is an arithmetic number, because the mean of its divisors is an integer number (1996907904).

Almost surely, 2^213306603312 is an apocalyptic number.

213306603312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213306603312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319505264640).

213306603312 is an abundant number, since it is smaller than the sum of its proper divisors (425703925968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213306603312 is a wasteful number, since it uses less digits than its factorization.

213306603312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 213306 and 603312, that added together give a palindrome (816618).

The spelling of 213306603312 in words is "two hundred thirteen billion, three hundred six million, six hundred three thousand, three hundred twelve".